For admission, I'd say your chances are very strong at most schools. My guess is that a few schools (e.g. Princeton, Columbia, probably HKS) may be difficult admits due to the shortage of work experience, but your stats are strong enough that I wouldn't rule them out either. Both your GPA and GRE scores will be above the admitted student median at any school to which you apply. You will be competitive on that basis, provided that your personal statement and letters of recommendation are adequate.
If it is not already on your list, you might consider adding the Harris School at the University of Chicago. They seem to admit a number of academically strong students straight out of undergrad. Their program has a pretty academic bent, so a shortage of work experience is less of a handicap than at many other programs.
One other consideration: wherever you are admitted, your lack of work experience will probably mean less scholarship support than you would receive with a few years of work under your belt. On that basis alone, you may wish to consider deferring entry to MPA/MPP programs for a few years.